ders pront, its of can be looked upon as a random variable X having the density function below, find the average profit per automobile. f(x) = 1 (7-x), 0

Q: Find the average value f ave of f(x)=x7  between -1 and 1, then find a number c in [-1,1] where…

A:

Q: Find the average value of f(x) = - 2 on [5,6].

A: To find the average value of fx=2x on 5, 6.

Q: Let X have PMF P(X = k) = −p^k/(k log(1 − p)) for k = 1, 2, 3, ...,where p is a parameter such that…

A: Let X be a random variable. The expected value of X or the mean of X, denoted by E(X) or μX​ is…

Q: The hospital period, in days, for patients following treatment for a certain type of kidney disorder…

A:

Q: Let X be a random variable from an exponential distribution with parameter 1/2. Calculate the…

A:

Q: 5. Assume that the measurement vector y is obtained from ß by y = WB + 8 where E(BB)=R, E(88') = Q,…

A: The minimum variance unbiased estimator is nothing but the estimator having a minimum variance among…

Q: If F(x) is cumulative distrbution function of a continuous random variable X, the probability…

A: False

Q: b- Let X₁, X2,.... Xn b (a) Find a complete (b) Find the UMVU

A: Solution:   (a):

Q: Let x denote the amount of gravel sold (in tons) during a randomly selected week at a particular…

A: For the given f(x ) Find (a) P (x> 1/4 ) = ? ( b ) P( X>=1/8 ) =>

Q: Q4) Find the average value of the function f(x)=V4 + x, at the 2d Quadrant. .........

A:

Q: (b) If n = 10 time headway observations are made, resulting in the values 3.11, 0.35, 2.55, 2.20,…

A: Since (a) is answered i gives solution of (b) From given : n=10…

Q: Suppose that {Xk} k=1,...,n are i.i.d ∼ Exp(λ), the pdf is given by f(x) = λe^(-λx), x > 0. Let Y1…

A:

Q: Find the maximum likelihood estimator for θ in the pdf f(y; θ) = 2y/(1 − θ^2), θ ≤ y ≤ 1.

A:

Q: The following holds marginal pdf of X P(X > 3) = re-#(1+y) dy dx = xe-". e¬#" dy dx e¬ª dx = 0.05.

A: Here the objective is to prove that PX>3=0.05.…

Q: (Requires calculus) Let X denote the prison sentence, in years, for people convicted of auto theft…

A: Expected value is given by

Q: 10 Determine the area above f(x)=x²+2x+3 and below the line y=11.

A:

Q: Let (x1, x2, · · · , xn) be i.i.d. samples of a random variable X with probability density function…

A: Given that, the probability density function of X is

Q: For an exponential random variable (X) having θ = 4 and pdf given by: f(x) = (1/θ)e^(−x/θ ) where x…

A: We want to find the mean and variance and P(X>3)= ?

Q: Let Y1,..., Yn denote a random sample from the density function given by fy (yl0) = ry"-le-v"10, for…

A: The probability density function is given by, fy|θ=1θryr-1e-yr/θ, for θ>0, y>0 The likelihood…

Q: If X is a uniformly distributed random variable between -1 and 1 (pdf of x is constant=1/(2pi)…

A: From the given information, fx=12π, -π≤X≤π Given that Y=sin(X) Consider, the distribution function…

Q: The wait T in hours between every phonecall a person recives is random given the densityfunction…

A: Given,f(t)=1.8 e-1.8t     for t≥0A random variable X~exponential (θ=1.8)

Q: Find the average value of f(x) = x² from r = 1 to x = 5.

A: `

Q: St *aiMd the average ralue 08 nte intervalCOa

A: the average (or the mean) value of f(x) on [a,b] is